Mandelbrot set
noun Etymology: Benoit Mandelbrot Date: 1984 a fractal that when plotted on a computer screen roughly resembles a series of heart-shaped disks to which smaller disks are attached and that consists of a connected set of all points c in the complex plane for which the recursive expression zn+1 = zn2 + c for n = 0, 1, 2, 3,…with the starting value z0 = 0 remains bounded as n approaches infinity

New Collegiate Dictionary. 2001.

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  • Mandelbrot set — Initial image of a Mandelbrot set zoom sequence with a continuously coloured environment …   Wikipedia

  • Mandelbrot set — /ˈmændəlbrɒt sɛt/ (say manduhlbrot set) noun the set of complex numbers for which the process of squaring the number and adding it to itself and successively repeating this process by squaring each result and adding it to the original number does …   Australian English dictionary

  • Mandelbrot set — noun Mathematics a particular set of complex numbers which has a highly convoluted fractal boundary when plotted. Origin 1980s: named after the Polish born mathematician Benoit B. Mandelbrot …   English new terms dictionary

  • Mandelbrot set — noun a set of complex numbers that has a highly convoluted fractal boundary when plotted; the set of all points in the complex plane that are bounded under a certain mathematical iteration • Hypernyms: ↑set …   Useful english dictionary

  • Mandelbrot set — noun the set of complex numbers c for which the orbit of 0 under iteration of the complex quadratic polynomial z = z + c remains bounded. The boundary of this set is a fractal …   Wiktionary

  • Mandelbrot Competition — Named in honor of the Mandelbrot set, the Mandelbrot Competition is a mathematics competition founded by Sam Vandervelde, Richard Rusczyk and Sandor Lehoczky that allows high school students to compete individually and in four person teams.[1]… …   Wikipedia

  • MANDELBROT, BENOIT — (1924– ), U.S. mathematician, scientist, and educator. Born in Warsaw, Poland, the nephew of the expert in mathematical analysis Szolem Mandelbrojt, Mandelbrot moved to France with his family in 1936. The need to avoid detection during the German …   Encyclopedia of Judaism

  • Mandelbrot — Mandelbrot, may refer to: Benoît Mandelbrot (1924–2010), a mathematician associated with fractal geometry Mandelbrot set, a fractal popularized by Benoît Mandelbrot Mandelbrot Competition, a math competition See also Szolem Mandelbrojt, a Polish… …   Wikipedia

  • Mandelbrot, Benoit — ▪ Polish mathematician born November 20, 1924, Warsaw, Poland    Polish mathematician universally known as the father of fractals (fractal). Fractals have been employed to describe diverse behaviour in economics, finance, the stock market,… …   Universalium

  • Mandelbrot-Menge — Die Mandelbrot Menge ist eine fraktal erscheinende Menge, die eine bedeutende Rolle in der Chaosforschung spielt. Der Rand der Menge weist eine Selbstähnlichkeit auf, die jedoch nicht exakt ist, da es zu Verformungen kommt. Die Visualisierung der …   Deutsch Wikipedia

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